Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800db |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1168750000 = -1 · 24 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 1 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3833,-90088] |
[a1,a2,a3,a4,a6] |
j |
-996720640/187 |
j-invariant |
L |
3.6404223177547 |
L(r)(E,1)/r! |
Ω |
0.3033685280543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18700j1 74800ck1 |
Quadratic twists by: -4 5 |